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تسجيل مستخدم جديدAsymptotic behaviour of the fourth Painleve transcendents in the space of initial values
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We study the asymptotic behaviour of solutions of the fourth Pain-leve equation as the independent variable goes to infinity in its space of (complex) initial values, which is a generalisation of phase space described by Okamoto. We show that the limit set of each solution is compact and connected and, moreover, that any non-special solution has an infinite number of poles and infinite number of zeroes.
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